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49628376 = 233572521
BaseRepresentation
bin1011110101010…
…0010011011000
310110101101100000
42331110103120
5100201102001
64531413000
71141556100
oct275242330
9113341300
1049628376
1126017596
1214754160
13a388205
14683c200
154554a86
hex2f544d8

49628376 has 144 divisors (see below), whose sum is σ = 162456840. Its totient is φ = 14152320.

The previous prime is 49628351. The next prime is 49628377. The reversal of 49628376 is 67382694.

49628376 is nontrivially palindromic in base 5.

49628376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49628377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94996 + ... + 95516.

Almost surely, 249628376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49628376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81228420).

49628376 is an abundant number, since it is smaller than the sum of its proper divisors (112828464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49628376 is a wasteful number, since it uses less digits than its factorization.

49628376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 49628376 is about 7044.7410172412. The cubic root of 49628376 is about 367.4881628840.

The spelling of 49628376 in words is "forty-nine million, six hundred twenty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 521 567 588 648 756 882 972 1042 1134 1176 1323 1512 1563 1701 1764 1944 2084 2268 2646 3126 3402 3528 3647 3969 4168 4536 4689 5292 6252 6804 7294 7938 9378 10584 10941 11907 12504 13608 14067 14588 15876 18756 21882 23814 25529 28134 29176 31752 32823 37512 42201 43764 47628 51058 56268 65646 76587 84402 87528 95256 98469 102116 112536 126603 131292 153174 168804 196938 204232 229761 253206 262584 295407 306348 337608 393876 459522 506412 590814 612696 689283 787752 886221 919044 1012824 1181628 1378566 1772442 1838088 2067849 2363256 2757132 3544884 4135698 5514264 6203547 7089768 8271396 12407094 16542792 24814188 49628376